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3339140 = 2257172361
BaseRepresentation
bin1100101111001110000100
320021122102212
430233032010
51323323030
6155322552
740245050
oct14571604
96248385
103339140
111980822
121150458
138cbb2c
1462cc60
1545e595
hex32f384

3339140 has 96 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1013760.

The previous prime is 3339137. The next prime is 3339143. The reversal of 3339140 is 419333.

3339140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3339137) and next prime (3339143).

It is a super-2 number, since 2×33391402 = 22299711879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54710 + ... + 54770.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 23339140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3339140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3339140 is an abundant number, since it is smaller than the sum of its proper divisors (5660284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3339140 is a wasteful number, since it uses less digits than its factorization.

3339140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 3339140 is about 1827.3313875704. The cubic root of 3339140 is about 149.4668479787.

The spelling of 3339140 in words is "three million, three hundred thirty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 61 68 70 85 92 115 119 122 140 161 170 230 238 244 305 322 340 391 427 460 476 595 610 644 782 805 854 1037 1190 1220 1403 1564 1610 1708 1955 2074 2135 2380 2737 2806 3220 3910 4148 4270 5185 5474 5612 7015 7259 7820 8540 9821 10370 10948 13685 14030 14518 19642 20740 23851 27370 28060 29036 36295 39284 47702 49105 54740 72590 95404 98210 119255 145180 166957 196420 238510 333914 477020 667828 834785 1669570 3339140